Question

What is the average length of a side in the shape made from the file datatest4.txt whose contents are shown below (just give to two decimal places)?

-3, 9

-8, 7

-12, 4

-6, -2

-4, -6

2, -8

6, -5

10, -3

8, 5

4, 8

Answer 1

Graph:

Length of edge = √( ( x_i+1 - x_i )² + ( y_i+1 - y_i )² )

We have assumed first edge starting at (-3,9) and in the anti-clockwise direction

Edge 1: 5.385

Edge 2: 5

Edge 3: 8.485

Edge 4: 4.472

Edge 5: 6.325

Edge 6: 5

Edge 7: 4.472

Edge 8: 8.246

Edge 9: 5

Edge 10: 7.071

Sum of all edges = 59.457

Number of edges = 10

average length of a side (or edge) = 59.457/10 = 5.9457 = 5.95